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20362056 = 233111317349
BaseRepresentation
bin100110110101…
…1001101001000
31102022111111020
41031223031020
520203041211
62004232440
7335034411
oct115531510
942274436
1020362056
1110548350
12699b720
1342ac170
1429c0808
151bc3306
hex136b348

20362056 has 128 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 5345280.

The previous prime is 20362049. The next prime is 20362057. The reversal of 20362056 is 65026302.

It is a super-2 number, since 2×203620562 = 829226649094272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20362057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58170 + ... + 58518.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 220362056 is an apocalyptic number.

20362056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20362056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

20362056 is an abundant number, since it is smaller than the sum of its proper divisors (43141944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20362056 is a wasteful number, since it uses less digits than its factorization.

20362056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 20362056 is about 4512.4334898146. The cubic root of 20362056 is about 273.0699280137.

Adding to 20362056 its reverse (65026302), we get a palindrome (85388358).

The spelling of 20362056 in words is "twenty million, three hundred sixty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 349 374 408 429 442 561 572 663 698 748 858 884 1047 1122 1144 1326 1396 1496 1716 1768 2094 2244 2431 2652 2792 3432 3839 4188 4488 4537 4862 5304 5933 7293 7678 8376 9074 9724 11517 11866 13611 14586 15356 17799 18148 19448 23034 23732 27222 29172 30712 35598 36296 46068 47464 49907 54444 58344 65263 71196 77129 92136 99814 108888 130526 142392 149721 154258 195789 199628 231387 261052 299442 308516 391578 399256 462774 522104 598884 617032 783156 848419 925548 1197768 1566312 1696838 1851096 2545257 3393676 5090514 6787352 10181028 20362056